Okay, let's tackle this math problem. We're starting with 183216 and subtracting 66195.

Step 1: We'll start by subtracting the digit 5 and the borrow 0 from 6 in column 1 and get 1.
1 is the first digit of our result.

Step 2: We'll start by subtracting the digit 9 and the borrow 0 from 1 in column 2 and get -8.
We add -8 to 10 and get 2 as the next digit of the result.

Step 3: We'll start by subtracting the digit 1 and the borrow 1 from 2 in column 3 and get 0.
0 is the next digit of our result.

Step 4: We'll start by subtracting the digit 6 and the borrow 0 from 3 in column 4 and get -3.
We add -3 to 10 and get 7 as the next digit of the result.

Step 5: We'll start by subtracting the digit 6 and the borrow 1 from 8 in column 5 and get 1.
1 is the next digit of our result.

Step 6: We'll start by subtracting the digit 0 and the borrow 0 from 1 in column 6 and get 1.
1 is the next digit of our result.

So, 183216 - 66195 = 117021.